Finding the Third Proportional to 48,589 and 116,949

Step by Step Solution

1. Step 1: Write the proportion equation
   48,589 : 116,949 = 116,949 : x
2. Step 2: Convert to fraction form
   48,589/116,949 = 116,949/x
3. Step 3: Cross multiply
   48,589x = 116,949 × 116,949
4. Step 4: Simplify right side
   48,589x = 13,677,068,601
5. Step 5: Solve for x
   x = 13,677,068,601/48,589
6. Step 6: Final answer
   x = 281,484.88